Only if the banking system or cryptocurrency will change then these two things will be able to somehow interact with each other
Banking system won't change but they could improve by using the blockchain as it will make their transaction for faster and more transparent as well.
Bitcoin is decentralized while banking is centralized regulated by a Central Bank, however, we can expect that sooner this whole market will be regulated by the government if the popularity of bitcoin will continue to increase.
With regulation, it will open the doors for more opportunity for the institutional money to get in the market, so this market will grow but slowly we will loss the essence of anonymity as when the government is in control, that is not possible.
- Indeed, the banking system has been developed and operating for many years, it has entered stable stages, so it will not seek a change, what it looks for is similar to what you said, a development that can make the system perfect and more powerful than ever, and the direction here is the blockchain system and the application of bitcoin storage at the bank. But this story still has a lot of problems when the government and the rules, Bitcoin systems are hard to exploit and control transparently, perhaps we will need more time to see the banking system, bitcoin and crypto have a link